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Finding the Fourth Proportional to 319.96, 481.66 and 290.20

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Solution

The fourth proportional to 319.96, 481.66 and 290.20 is: 436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.96 : 481.66 = 290.20 : x
  2. Step 2: Convert to fraction form
    319.96/481.66 = 290.20/x
  3. Step 3: Cross multiply
    319.96x = 481.66 × 290.20
  4. Step 4: Simplify right side
    319.96x = 139,777.73
  5. Step 5: Solve for x
    x = 139,777.73/319.96
  6. Step 6: Final answer
    x = 436.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.